A confectionery company manufactures a popular brand of chocolate chip cookies that claims to have at least 15 chocolate chips in each cookie. A student is doubtful and wanted to estimate the number of chocolate chips in this brand of cookie. They sampled 100 cookies of this popular brand and found an average of 12.5 chips per cookie. If we assume the machine in the confectionery company that makes the cookies has a mean $\mu$ \mu and standard deviation $\sigma$ \sigma = 8 chocolate chips per cookie, a 99% confidence interval for the average number of chips per cookie based on this sample was found to be (10.4, 14.9). Is the student’s doubt about the company’s claim reasonable?

Question

Answer

No, it is not reasonable because the sample size of 100 is relatively small compared to the number of cookies produced by the company.

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No, it is not reasonable because 15 (the number of choc chips per cookie claimed) is not included in the 99% confidence interval.

Answer

Yes, it is reasonable because the standard deviation   \sigma  = 8 is relatively large.

Answer

Yes, it is reasonable because 15 (the number of choc chips per cookie claimed) is not included in the 99% confidence interval.

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A confectionery company manufactures a popular brand of chocolate chip cookies t...

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